SOLUTION: A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt and loses 20% on the cost price for the other T-shirt. Express her net profit or loss as a

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Question 1055893: A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt and loses 20% on the cost price for the other T-shirt. Express her net profit or loss as a percentage of the total cost price of the two T-shirts. ......
(My answer is 2.5% profit, but the answer key has different result)

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt and loses 20% on the cost price for the other T-shirt. Express her net profit or loss as a percentage of the total cost price of the two T-shirts. ......
(My answer is 2.5% profit, but the answer key has different result)
Let cost price of T-shirt she made a 25% profit on, be P
This means that she sold it for 25% MORE than the cost price, or for 1.25P
We then get:
P, or cost price of T-shirt she made a 25% profit on =
Therefore, profit = $48 - $38.40 = $9.60
Let cost price of T-shirt she made a 20% loss on, be L
This means that she sold it for 20% LESS than the cost price, or for .8L
We then get:
L, or cost price of T-shirt she made a 20% LOSS on =
Therefore, loss = $60 - $48 = $12
Since the loss ($12) is greater than the profit ($9.60), she incurred a NET LOSS.
Net loss $2.40 ($12 - 9.60) as a percentage of total cost: $98.40 ($38.40 + 60) =
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